a g x g z g h kj molrxn the equation shown above represents an exothermic reaction between

hoots a laser beam in a straight path from a deck 14 feet above sea level off the coast of Florida, is it possible the laser beam will cross the path of the model rocket? Use a piece of graph paper to write/model equations f ( x ) to represent the path that models the rocket and g ( x ) to represents the path that models the laser beam.

er-example (if false). (a) If |f | is integrable on [a, b], then f is also integrable on [a, b]. (b) If f = F ′ for some function F on [a, b], then f is continuous on [a, b]. (c) If g is continuous on [a,b], then g = G′ for some G on [a,b]. (d) If G(x) = ???? x g is differentiable at p ∈ (a, b), then g is continuous at p.

ng the snow. The first child exerts a force of F1 = 11 N at an angle θ1 = 45° counterclockwise from the positive x direction. The second child exerts a force of F2 = 6 N at an angle θ2 = 30° clockwise from the positive x direction. Find the magnitude (in N) and direction of the friction force acting on the sled if it moves with constant velocity. magnitude direction (counterclockwise from the +x-axis) What is the coefficient of kinetic friction between the sled and the ground? What is the magnitude of the acceleration (in m/s2) of the sled if F1 is doubled and F2 is halved in magnitude?

1 ? (Without using differentiation rules) For each statement, explain why it must be true, or use an example to show that it can be false. a)If y = f ( x ) has a horizontal tangent line at x = 1 then y = g ( x ) , where g ( x ) = f ( x − 1 ) + 1 , has a horizontal tangent line at x = 2 . b)A tangent line always has exactly one point in common with the graph of the function.

ave a horizontal tangent line at x = 1 ? (Without using differentiation rules) For each statement, explain why it must be true, or use an example to show that it can be false. a)If y = f ( x ) has a horizontal tangent line at x = 1 then y = g ( x ) , where g ( x ) = f ( x − 1 ) + 1 , has a horizontal tangent line at x = 2 . b)A tangent line always has exactly one point in common with the graph of the function.